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1387187352 = 2332171736551
BaseRepresentation
bin101001010101110…
…1100110010011000
310120200020102022100
41102223230302120
510320104443402
6345352123400
746242616665
oct12253546230
93520212270
101387187352
11652038431
12328696560
13191513925
14d2338a6c
1581bb371c
hex52aecc98

1387187352 has 96 divisors (see below), whose sum is σ = 4001568480. Its totient is φ = 432614400.

The previous prime is 1387187323. The next prime is 1387187377. The reversal of 1387187352 is 2537817831.

It is a junction number, because it is equal to n+sod(n) for n = 1387187298 and 1387187307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 208477 + ... + 215027.

It is an arithmetic number, because the mean of its divisors is an integer number (41683005).

Almost surely, 21387187352 is an apocalyptic number.

1387187352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1387187352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2000784240).

1387187352 is an abundant number, since it is smaller than the sum of its proper divisors (2614381128).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1387187352 is a wasteful number, since it uses less digits than its factorization.

1387187352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6753 (or 6746 counting only the distinct ones).

The product of its digits is 282240, while the sum is 45.

The square root of 1387187352 is about 37244.9641159714. The cubic root of 1387187352 is about 1115.2657713364.

It can be divided in two parts, 138718 and 7352, that added together give a triangular number (146070 = T540).

The spelling of 1387187352 in words is "one billion, three hundred eighty-seven million, one hundred eighty-seven thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 173 204 306 346 408 519 612 692 1038 1224 1384 1557 2076 2941 3114 4152 5882 6228 6551 8823 11764 12456 13102 17646 19653 23528 26204 26469 35292 39306 52408 52938 58959 70584 78612 105876 111367 117918 157224 211752 222734 235836 334101 445468 471672 668202 890936 1002303 1133323 1336404 2004606 2266646 2672808 3399969 4009212 4533292 6799938 8018424 9066584 10199907 13599876 19266491 20399814 27199752 38532982 40799628 57799473 77065964 81599256 115598946 154131928 173398419 231197892 346796838 462395784 693593676 1387187352